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Derivative for Functions f : G → H , Where G Is a Metric Divisible Group

Author

Listed:
  • Héctor Andrés Granada Díaz

    (Departamento de Matemáticas y Estadística, Universidad del Tolima, Grupo de Matemáticas del Tolima (Grupo-MaT), Barrio Santa Helena Parte Alta Cl 42 1-02, Ibagué 730006299, Colombia)

  • Simeón Casanova Trujillo

    (Grupo de Investigación Cálculo Científico y Modelamiento Matemático, Universidad Nacional de Colombia, Sede Manizales, Manizales 170003, Colombia)

  • Fredy E. Hoyos

    (Departamento de Energía Eléctrica y Automática, Facultad de Minas, Universidad Nacional de Colombia, Sede Medellín, Carrera 80 No. 65-223, Robledo, Medellín 050041, Colombia)

Abstract

In this paper, a derivative for functions f : G → H , where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.

Suggested Citation

  • Héctor Andrés Granada Díaz & Simeón Casanova Trujillo & Fredy E. Hoyos, 2022. "Derivative for Functions f : G → H , Where G Is a Metric Divisible Group," Mathematics, MDPI, vol. 10(19), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3559-:d:929386
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